Search a number
-
+
1134404000000 = 2856283601
BaseRepresentation
bin10000100000011111101…
…111110101100100000000
311000110002120021001100222
4100200133233311210000
5122041224411000000
62225045450402212
7144646405621355
oct20403757654400
94013076231328
101134404000000
113a8109536447
12163a31730368
1382c876a3c1b
143cc9678c62c
151e796053a85
hex1081fbf5900

1134404000000 has 126 divisors (see below), whose sum is σ = 2830444668282. Its totient is φ = 453760000000.

The previous prime is 1134403999973. The next prime is 1134404000029. The reversal of 1134404000000 is 4044311.

It can be written as a sum of positive squares in 7 ways, for example, as 1097901604864 + 36502395136 = 1047808^2 + 191056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3858200 + ... + 4141800.

Almost surely, 21134404000000 is an apocalyptic number.

1134404000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415222334141).

1134404000000 is an abundant number, since it is smaller than the sum of its proper divisors (1696040668282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1134404000000 is an frugal number, since it uses more digits than its factorization.

1134404000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283647 (or 283608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1134404000000 its reverse (4044311), we get a palindrome (1134408044311).

The spelling of 1134404000000 in words is "one trillion, one hundred thirty-four billion, four hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 283601 400000 500000 567202 800000 1000000 1134404 1418005 2000000 2268808 2836010 4000000 4537616 5672020 7090025 9075232 11344040 14180050 18150464 22688080 28360100 35450125 36300928 45376160 56720200 70900250 72601856 90752320 113440400 141800500 177250625 181504640 226880800 283601000 354501250 363009280 453761600 567202000 709002500 886253125 907523200 1134404000 1418005000 1772506250 1815046400 2268808000 2836010000 3545012500 4431265625 4537616000 5672020000 7090025000 8862531250 9075232000 11344040000 14180050000 17725062500 22688080000 28360100000 35450125000 45376160000 56720200000 70900250000 113440400000 141800500000 226880800000 283601000000 567202000000 1134404000000